Final answer:
The technique where the winds and strings play a repeated accompanimental figure in music is called an ostinato.
Step-by-step explanation:
When the winds and strings play a repeated accompanimental figure in music, this technique is known as an ostinato. An ostinato is a motif or phrase that persistently repeats in the same musical voice, frequently in the same pitch. It is used in various musical genres to provide a repetitive rhythm or harmonic structure that gives pieces a sense of continuity and structure. This technique is evident in many musical compositions where instruments such as the violin, guitar, and marimba, which use the resonance within their sounding boxes and resonance chambers like gourds, create rich harmonic overtones to accompany melodies.